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Mathematics

Basic Structures

Basic Definitions
Generalizations and Special Cases
Existence Theory

Examples and Limiting Cases

Minkowski Space as a Causal Fermion System
The Continuum Limit
Connection to Quantum Field Theory
Connection to General Relativity

Inherent Structures

Spin Spaces and Physical Wave Functions
The Fermionic Projector
Geometric Structures
Surface Layer Integrals

Further Structures

Manifolds of Operators
Operator Algebras
Causal Cone Structures
Fock Space Structures

Analytic Structures

The Euler-Lagrange Equations
The Linearized Field Equations
The Dynamical Wave Equation
Construction of Linear Fields and Waves

Further Structures

Positive Functionals
The Fermionic Signature Operator
Notions of Entropy

Physics

Elementary Structures

What is a Causal Fermion System?
The Causal Structure
Motivation for the Choice of F

Main Results and Ontology

The Standard Model and General Relativity
Why the Dirac Sea?
What is Fundamental?
Underlying Physical Principles

Central Ideas of the Theory

The Causal Action Principle
The Continuum Limit
The Logic Underlying the Derivation of the Classical Field Equations

Wishlists and Relation to Other Theories

Comments on Quantum Gravity Wishlists
Relation to Other Theories